Type 2 civilization orbiting twin yellow hypergiants system possible?

Imagine a world so brilliant and yet unthinkable - a habitable Earth-like planet infested with intelligent life attempting to erect a flexible Dyson sphere enveloping two yellow hypergiants. I know that a hypergiant is rare, and a twin system with a goldilocks zone around it is millions or billions of times rarer still, let alone trying to imprison the hypergiants behind bars to extort its enormous energy output. My question is, can such a world exist outside of my mind?

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Type 2 civilization orbiting twin yellow hypergiants system possible?

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